37 resultados para Estabilidade linear


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Pós-graduação em Matematica Aplicada e Computacional - FCT

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Pós-graduação em Engenharia Elétrica - FEB

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The aim of this work is to analyze the stability of the rotational motion’s artificial satellite using the Routh Hurwitz Algorithm (CRH) and the quaternions to describe the satellite’s attitude. This algorithm allows the investigation of the stability of the motion using the coefficients of the characteristic equation associated with the equation of the rotational motion in the linear form. The equations of the rotational motion are given by the four cinematic equations for the quaternion and the three equations of Euler for the spin velocity’s components. In the Euler equations are included the components of the gravity gradient torque (TGG) and the solar radiation torque (TRS). The TGG is generated by the difference of the Earth gravity force direction and intensity actuating on each satellite mass element and it depends on the mass distribution and the form of the satellite. The TRS is created by changing of the linear momentum, which happens due to the interactions of solar photons with the satellite surface. The equilibrium points are gotten by the equation of rotational motion and the CRH is applied in the linear form of these equations. Simulations are developed for small and medium satellites, but the gotten equilibrium points are not stable by CRH. However, when some of the eigenvalues of the characteristic equation are analyzed, it is found some equilibrium points which can be pointed out as stables for an interval of the time, due to small magnitude of the real part of these eigenvalue

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This research evaluated the surgical stabilily in patients with mandibular prognathism and retrognathism in which was used sagital split technic to correct those detormities. Twelve patients were selected from the clinic of only one experienced surgeon. Six patients presenter a Class III 6 a Class II molar relationship. A comparative cefalometric analysis using linear and angular measurements was performed of pre-surgery, imediate pós-surgery and 1 year follow-up. The following conclusions were obtained. 1 The Dal Pont sagital split technic modified by Epker to correct mandibular prognathisn and retroghnatism is a stable technic and must be indicated to correct those deformities. 2 Small relapses are easily corrected by the post-surgical orthodontic treatment. 3 A small over correction is advised in cases of large mandibular advancements or set bascks. 4 In those cases which a large amount of mandibular retrusion on advancement need to be performed, a combination of maxillary and mandibular surgery should be used. Rigid fixation technic is also indicated in those cases

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Pós-graduação em Engenharia Elétrica - FEIS